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Trig

On the same set of axes, sketch and label the graphs of the equations y = cos 2x and y = –2 sin x in the interval 0 ≤ x ≤ 2π. How many values of x in the interval 0 ≤ x ≤ 2π satisfy the equation –2 sin x – cos 2x = 3?
A.1
B.2
C.3
D.4
E.0

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  1. see the graphs here:

    http://www.wolframalpha.com/input/?i=plot+y%3Dcos2x+and+y%3D-2sinx

    However, it might be better to graph y = -cos2x, then the final graph would be easier to visualize:

    http://www.wolframalpha.com/input/?i=plot+y%3D+-cos2x+and+y%3D-2sinx%2C+y+%3D+-cos2x-2sinx%2C+y%3D3

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  2. n b

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